@Article{JNMA-2-1, author = {Qixiang, Dong and Jiu, Ding}, title = {All Commuting Solutions of a Quadratic Matrix Equation for General Matrices}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2020}, volume = {2}, number = {1}, pages = {111--123}, abstract = {

Using the Jordan canonical form and the theory of Sylvester's equation, we find all the commuting solutions of the quadratic matrix equation $AXA = XAX$ for an arbitrary given matrix $A$.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.111}, url = {https://global-sci.com/article/88003/all-commuting-solutions-of-a-quadratic-matrix-equation-for-general-matrices} }